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Finding the Fourth Proportional to 2,446.05, 3,669.30 and 691.07

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Solution

The fourth proportional to 2,446.05, 3,669.30 and 691.07 is: 1,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.05 : 3,669.30 = 691.07 : x
  2. Step 2: Convert to fraction form
    2,446.05/3,669.30 = 691.07/x
  3. Step 3: Cross multiply
    2,446.05x = 3,669.30 × 691.07
  4. Step 4: Simplify right side
    2,446.05x = 2,535,743.15
  5. Step 5: Solve for x
    x = 2,535,743.15/2,446.05
  6. Step 6: Final answer
    x = 1,036.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.